How do I factor <img src="https://tex.z-dn.net/?f=2x%20%7B%20%2B%7D%5E%7B3x" id="TexFormula1" title="2x { +}^{3x" alt="2x

the product of a numer, k, and four is seven more than the quotient of the number and two thirds. write an equation to represent

pav-90 [236]

I attached a picture with equation because it is easier than attempting to type it out.

6 0

3 years ago

Is it true that a line with slope 1 always passes through the origin? Explain your reasoning.

elena55 [62]

Well, yes and no.

Yes, because the straight line needs to pass through a number greater than 0, and 1 is obviously greater than 0.

However, y = x + 1 is not the same as y = x.

hope this helps.! let me know if it's in any way confusing..

I'd be happy to help!

5 0

3 years ago

How would I solve for the parabolic equation with these two given points. Please answer ASAP!!

monitta

So

y=ax^2+bx+c
(x,y)
sub the points and solve

(4.28,6.48)
6.48=a(4.28)^2+b(4.28)+c

(12.61,15.04)
15.04=a(12.61)^2+b(12.61)+c
well, for 3 variables, we need equations and therefor 3 points

maybe we are supposed to assume it starts at (0,0)
so then
0=a(0)^2+b(0)+c
0=c
so then
6.48=a(4.28)^2+b(4.28)
15.04=a(12.61)^2+b(12.61)

solve for a by subsitution
first equation, minut a(4.28)^2 from both sides
6.48-a(4.28)^2=b(4.28)
divide both sides by 4.28
(6.48/4.28)-4.28a=b
sub that for b in other equation

15.04=a(12.61)^2+b(12.61)
15.04=a(12.61)^2+((6.48/4.28)-4.28a)(12.61)
expand
15.04 =a(12.61)^2+(81.7128/4.28)-53.9708a
minus (81.7128/4.28) both sides
15.04-(81.7128/4.28)=a(12.61)^2-53.9708a
15.04-(81.7128/4.28)=a((12.61)^2-53.9708)
(15.04-(81.7128/4.28))/(((12.61)^2-53.9708))=a
that's the exact value of a
to find b, subsitute to get
(6.48/4.28)-4.28((15.04-(81.7128/4.28))/(((12.61)^2-53.9708)))=b

if we aprox
a≈-0.038573167896199
b≈1.6791118501845
so then the equation is
y=-0.038573167896199x²+1.6791118501845x

7 0

3 years ago

-3/v=-6 simply as much as possible

Aleksandr [31]

Hey!

In order to simplify this equation, we'll first have to multiply both sides of the equation by v. This will give us v on its own.

Original Equation :
$\frac{-3}{v} = -6$

New Equation {Added Multiply Both Sides by V} :
$\frac{-3}{v} v=-6v$

Solution {New Equation Solved} :
$-3 = -6v$

Now we'll switch sides to get v on the left side of the equation which is generally where we always want the variables to be located in these types of equations.

Old Equation :
$-3 = -6v$

New Equation {Switched} :
$-6v=-3$

Now we'll divide both sides by v to get v on its own.

Old Equation :
$-6v = -3$

New Equation {Added Divide Both Sides by V} :
$\frac{-6v}{v} = \frac{-3}{v}$

Solution {New Equation Solved} :
$v = \frac{1}{2}$

So, this means that in the equation $\frac{-3}{v} =-6$ , $v = \frac{1}{2}$ .

Hope this helps!

- Lindsey Frazier ♥

3 0

3 years ago

In a group of 60 workers, the average salary is $80 a day per worker. if some of the workers earn $75 a day and all the rest ear

Softa [21]

The total number of workers that earn $75 per day is 48

<h3>What is average salary?</h3>

The average salary is calculated based on reported salaries of respondents. The average salary definition is to add the salaries in the sample together, then divide by the number of respondents.

Given that:

In a group of 60 workers, the average salary is $80 a day per worker.

If some of the workers earn $75 a day and all the rest earn $100 a day.

Let 'x' be the total number of workers that earn $75 per day.

So, the total number of workers that earn $100 per day is (60 - x).

As the average salary of 60 workers is $80.

Then,

$\frac{75x + 100(60-x)}{60} =80$

or, 75 x + 6000- 100x = 80*68

or, -25x= -1200

x= 48

So, the total number of workers earn $75 per day is 48.

Learn more about the concept here:

brainly.com/question/21835898

#SPJ1

4 0

2 years ago